Properties of Equality and Congruence.

Front

What is the Reflexive Property?

Back

For any number a, a = a. This property states that any quantity is equal to itself.

Front

What is the Reflexive Property of Congruence?

Back

For any angle A,

Front

What is the Division Property of Equality?

Back

If a = b, then a/c = b/c for any non-zero c. This property allows you to divide both sides of an equation by the same non-zero number.

Front

What is the Distributive Property?

Back

a(b + c) = ab + ac. This property allows you to multiply a number by a sum by distributing the multiplication over each addend.

Front

What is the Symmetric Property?

Back

If a = b, then b = a. This property states that if one quantity equals another, then the second quantity equals the first.

Front

What is the Transitive Property?

Back

If a = b and b = c, then a = c. This property states that if one quantity equals a second quantity, which equals a third, then the first quantity equals the third.

Front

What is the Associative Property of Addition?

Back

(a + b) + c = a + (b + c). This property states that the way in which numbers are grouped in addition does not change their sum.

Front

What is the Commutative Property of Addition?

Back

a + b = b + a. This property states that the order in which two numbers are added does not change their sum.

Front

What is the Identity Property of Addition?

Back

a + 0 = a. This property states that adding zero to any number does not change the number.

Front

What is the Identity Property of Multiplication?

Back

a × 1 = a. This property states that multiplying any number by one does not change the number.